Zero is even.
Understanding Even and Odd Numbers
To understand why zero is even, let's define what it means for a number to be even or odd.
- Even numbers are integers that are divisible by 2. This means that when an even number is divided by 2, the result is also an integer.
- Odd numbers are integers that are not divisible by 2. When an odd number is divided by 2, the result is not an integer.
Why Zero is Even
Zero fits the definition of an even number because 0 divided by 2 equals 0, which is an integer.
0 / 2 = 0
Therefore, zero is divisible by 2.
Further Evidence: Alternating Pattern
As referenced, the even and odd numbers alternate. Starting from zero, which is even, we have:
| Number | Even/Odd |
|---|---|
| 0 | Even |
| 1 | Odd |
| 2 | Even |
| 3 | Odd |
| 4 | Even |
This alternating pattern confirms that zero is indeed an even number. Furthermore, the reference states, "The fact that zero is even, together with the fact that even and odd numbers alternate, is enough to determine the parity of every other natural number." This highlights the fundamental role of zero in defining evenness.
Conclusion
Zero perfectly fits the definition of an even number and follows the alternating pattern of even and odd numbers.
